Cyclization of a polymer: First-passage problem for a non-Markovian process
Cyclization of a polymer: First-passage problem for a non-Markovian process
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DOI：
10.1103/physrevlett.90.080601
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发表时间：
2003-02-28
影响因子：
8.6
通讯作者：
Sokolov, IM
中科院分区：
文献类型：
--
作者：
Sokolov, IM
本文讨论了从一个给定的端到端距离的状态释放的高分子链的封闭性。考虑的情况下，作为一个非马尔可夫过程的第一次通过问题，我们表示的生存概率通过三次分布的端到端的距离，并评估它的数值求解沃尔泰拉方程。我们还展示了如何在这个计划中出现的Wilemski-Fixmann近似，并讨论其几何性质。
We discuss a closure of a polymer chain released from a state with given end-to-end distance. Considering the situation as a first passage problem for a non-Markovian process, we express the survival probability through the three-time distribution of the end-to-end distance and evaluate it numerically by solving a Volterra equation. We also show how the Wilemski-Fixmann approximation emerges within this scheme and discuss its geometrical nature.